In the figure below the y-axis points north, the x-axis points east, and the xy-
ID: 3119124 • Letter: I
Question
In the figure below the y-axis points north, the x-axis points east, and the xy-plane corresponds to the surface of the water. Suppose a boat is at point B, a submarine is 9 units below point S, and a helicopter is 10 units above point H. 1. Find the displacement vector and the distance from the submarine to the boat. Displacement: Distance: 2. Find the displacement vector and distance from the helicopter to the boat. Displacement: Distance: 3. Find the displacement vector and distance from the submarine to the helicopter. Displacement: Distance:Explanation / Answer
B (3,4,0) and S(5,1,-9) and H (1,2,10)
1) S to B
Displacemet vector = (3-5)i + (4-1)j + (0-(-9))k = -2i +3j +9k
Distance =(4+9+81)0.5 = 9.69
2) H to B
Displacemet vector = (3-1)i + (4-2)j + (0-10)k = 2i +2j -10k
Distance =(4+4+100)0.5 = 10.39
3) S to H
Displacemet vector = (1-5)i + (2-1)j + (10-(-9))k = -4i +1j +19k
Distance =(16+1+361)0.5 = 19.44